Strategi Rekursif dan Eksplisit pada Generalisasi Aljabar Siswa Kelas XI Ditinjau dari Gaya Kognitif

Iman Aniyatuz Zakiyah, I Nengah Parta, Hendro Permadi

Abstract


Abstract: The aim of this study is to describe the recursive and explicit strategies of algebraic generalization used by 11st grade students based on their cognitive styles and used descriptive qualitative methodology. The subject consisted of 3 field dependent and 3 field independent students. Given 2 tasks to determine the strategies used by students. The problem given are related to near and far generalization. The recursive strategy requires the subject to know the relationship of each term to determine the pattern, whereas the explicit strategy allows the subject to use various rules accordingly. The results show that FD and FI subject use recursive strategy for near generalization problem. But for far generalization problem, FD use recursive and FI use explisit strategy. The findings of this study is there was one subjecf of FI that use recursive strategy for far generalization problem.

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan strategi rekursif dan eksplisit generalisasi aljabar siswa kelas XI yang ditinjau dari gaya kognitif dengan menggunakan metode kualitatif deskriptif. Subjek penelitian adalah masing-masing tiga siswa field dependent(FD) dan field independent(FI). Diberikan dua masalah untuk mengetahui strategi yang digunakan oleh siswa. Masalah yang diberikuan berkaitan dengan generalisasi sederhana dan rumit. Strategi rekursif mengharuskan subjek untuk mengetahui hubungan tiap suku untuk menentukan pola, sedangkan strategi eksplisit memungkinkan subjek untuk menggunakan berbagai aturan yang sesuai. Hasil penelitian adalah subjek FD dan FI menggunakan strategi rekursif untuk generalisasi sederhana, sedangkan generalisasi rumit subjek FD menggunakan strategi rekursif. Namun subjek FI menggunakan strategi eksplisit. Temuan dalam penelitian ini menunjukkan bahwa ada 1 subjek FI yang menggunakan strategi rekursif untuk menyelesaikan generalisasi rumit.

Keywords


recursive strategy; algebraic generalizations; cognitive style; strategi rekursif; generalisasi aljabar; gaya kognitif

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DOI: http://dx.doi.org/10.17977/jptpp.v6i11.15136

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